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alina1380 [7]
4 years ago
9

A classroom contains an equal number of boys and girls. If 5 girls leave, twice as many boys and girls remain. What was the orig

inal number of students present?
Mathematics
1 answer:
lorasvet [3.4K]4 years ago
5 0
The answer is 10 because 5 x 2 is 10
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What is the volume of the regular pyramid?
ad-work [718]

Answer:

C

Step-by-step explanation:

The volume of the regular pyramid is V=\dfrac{1}{3}A_{base}H.

The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.

Hence, the volume of the pyramid is

V=\dfrac{1}{3}\cdot 374.4\cdot 36=4,492.8\ cm^3.

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3 years ago
An 12-ounce bottle of orange juice costs $2.64. What is the cost of the orange juice per ounce?
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Step-by-step explanation:

3 0
2 years ago
Can someone answer this question please?
Slav-nsk [51]

Answer:

Therefore,

(x , y)                YES / NO

(-4, -5)           Yes, It is a Solution.

(1 , - 3)           No, not a Solution.

(9 , 6)            No, not a Solution.

(-6 , 2)           No, not a Solution.

Step-by-step explanation:

Given:

4x-7y=19

To Determine:

Given ordered pair is a solution or not ?

Solution:

For (-4,-5)  

Substitute x = -4 and y = -5 in above equation

Left Hand Side   = 4 × (-4) - 7 × (-5)

                           = -16+35

                           = 19

Right Hand Side = 19

Left Hand Side = Right Hand Side  

Satisfied

Hence (-4, -5) is the SOLUTION to 4x - 7y =19  (YES)

For (1, -3)  

Substitute x = 1 and y = -3 in above equation

Left Hand Side = 4 × (1) - 7 × (-3)

                         = 25

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (1, -3) is NOT the Solution to 4x - 7y =19  (NO)

For (9, 6)  

Substitute x = 9 and y = 6 in above equation

Left Hand Side = 4 × (9) - 7 × (6)

                         = -6

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (9, 6) is NOT the Solution to 4x - 7y =19  (NO)

For (-6, 2)  

Substitute x = -6 and y = 2 in above equation

Left Hand Side = 4 × (-6) - 7 × (2)

                         = -38

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (-6, 2) is NOT the Solution to 4x - 7y =19  (NO)

Therefore,

(x , y)                YES / NO

(-4, -5)           Yes, It is a Solution.

(1 , - 3)           No, not a Solution.

(9 , 6)            No, not a Solution.

(-6 , 2)           No, not a Solution.

6 0
3 years ago
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